dorsal/arxiv
View SchemaDynamics of Turing patterns under spatio-temporal forcing
| Authors | S. Rudiger, D. G. Miguez, A. P. Munuzuri, F. Sagues, J. Casademunt |
|---|---|
| Categories | |
| ArXiv ID | physics/0301079 |
| URL | https://arxiv.org/abs/physics/0301079 |
| DOI | 10.1103/PhysRevLett.90.128301 |
Abstract
We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatio-temporal forcing in the form of a travelling wave modulation of a control parameter. We show that from strictly spatial resonance, it is possible to induce new, generic dynamical behaviors, including temporally-modulated travelling waves and localized travelling soliton-like solutions. The latter make contact with the soliton solutions of P. Coullet Phys. Rev. Lett. {\bf 56}, 724 (1986) and provide a general framework which includes them. The stability diagram for the different propagating modes in the Lengyel-Epstein model is determined numerically. Direct observations of the predicted solutions in experiments carried out with light modulations in the photosensitive CDIMA reaction are also reported.
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"abstract": "We study, both theoretically and experimentally, the dynamical response of\nTuring patterns to a spatio-temporal forcing in the form of a travelling wave\nmodulation of a control parameter. We show that from strictly spatial\nresonance, it is possible to induce new, generic dynamical behaviors, including\ntemporally-modulated travelling waves and localized travelling soliton-like\nsolutions. The latter make contact with the soliton solutions of P. Coullet\nPhys. Rev. Lett. {\\bf 56}, 724 (1986) and provide a general framework which\nincludes them. The stability diagram for the different propagating modes in the\nLengyel-Epstein model is determined numerically. Direct observations of the\npredicted solutions in experiments carried out with light modulations in the\nphotosensitive CDIMA reaction are also reported.",
"arxiv_id": "physics/0301079",
"authors": [
"S. Rudiger",
"D. G. Miguez",
"A. P. Munuzuri",
"F. Sagues",
"J. Casademunt"
],
"categories": [
"physics.chem-ph",
"cond-mat.soft",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.90.128301",
"title": "Dynamics of Turing patterns under spatio-temporal forcing",
"url": "https://arxiv.org/abs/physics/0301079"
},
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